[PDF] Top 20 A Hybrid-Extragradient Scheme for System of Equilibrium Problems, Nonexpansive Mappings, and Monotone Mappings

... Let E be a uniformly smooth and uniformly convex Banach space, and let C be a nonempty closed convex subset of E. Let f be a bifunction from C × C to R, and let S be a relatively nonexpansive mapping from C into ... See full document

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 21–24 and the references ...minimization problems have a great impact and ... See full document

... Numerous problems in physics, optimization, and economics reduce to find a solution of ...iterative scheme of finding the best approximation to initial data when EPφ is nonempty and proved a strong ... See full document

... in hybrid method for asymptotically nonexpansive mappings in Hilbert ...asymptotically nonexpansive mapping. We also introduce a new hybrid iterative scheme for finding a common ... See full document

... by hybrid iterative scheme for approximation of common fixed point of a countable family of closed relatively quasi-nonexpansive mappings which is also a solution to a system of ... See full document

... maximal monotone operator T in a uniformly smooth and uniformly convex Banach ...these hybrid proximal-type algorithms are established; that is, under appropriate conditions, the sequences generated by ... See full document

... many nonexpansive mappings in a Hilbert spaces without using the W-mapping generated by a family of infinitely (finitely) nonexpansive ...the extragradient method (and the hybrid ... See full document

... by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...for equilibrium and fixed point ...for ... See full document

... relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a uniformly convex and uniformly smooth Banach ...tive scheme for approximation of a common element in the ... See full document

... solution problems have been extensively studied by many schol- ars; see, for example, [–] and the references ...a monotone variational inequality, a system of equilibrium problems, ... See full document

... iteration scheme for finding a common of the solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed points of a nonexpansive ...The scheme ... See full document

... an equilibrium problem and the set of fixed points of a hemirelatively nonexpansive mapping and for finding a common element of the set of zero points of maximal monotone operators and the set of ... See full document

... -nonexpansive mappings and the class of asymptotically quasi-φ -nonexpansive mappings are more general than the class of relatively nonexpan- sive mappings and the class of relatively ... See full document

... -nonexpansive mappings and the class of asymptotically quasi-φ -nonexpansive mappings are more general than the class of relatively nonexpan- sive mappings and the class of relatively ... See full document

... Adding up the above inequalities, we obtain that p = q. This completes the proof. Remark . In the case that T and f are non-self mappings, we remark that the results of Lemma . and Theorem . still hold under ... See full document

... Projection methods which were first introduced by Haugazeau [] have been consid- ered for the approximation of fixed points of nonlinear mappings. The advantage of pro- jection methods is that strong convergence ... See full document

... sunny nonexpansive retraction if Proj D is sunny, nonexpansive, and a ...a nonexpansive retract of C if there exists a nonexpansive retraction from C onto ...sunny nonexpansive ... See full document

... of nonexpansive mappings (asymptot- ically nonexpansive mappings) and of common fixed points of nonexpansive semi-groups (asymptotically nonexpansive semigroups) is an important ... See full document

... be monotone iff, for all x, y ∈ H, f ∈ Mx and g ∈ My imply x – y, f – g > ...A monotone mapping M : H ⇒ H is maximal iff the graph Graph(M) of R is not properly contained in the graph of any other ... See full document

... inclusion problems have been extended and generalized to study a large variety of problems arising in image recovery, economics, and signal pro- cessing; for more details, see ...inclusion problems ... See full document